Please use this identifier to cite or link to this item: https://hdl.handle.net/1822/17063

TitleSensitivity of eigenvalues of an unsymmetric tridiagonal matrix
Author(s)Ferreira, Carla
Parlett, Beresford
Dopico, Froilán M.
KeywordsCondition numbers
Unsymmetric tridiagonal matrices
Factored forms
Issue date2012
PublisherSpringer
JournalNumerische Mathematik
CitationFerreira, C., Parlett, B., & Dopico, F. M. (2012). Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix. Numerische Mathematik 122:3 (2012) 527-555.
Abstract(s)Several relative condition numbers that exploit tridiagonal form are derived. Some of them use tridiagonal factorization instead of the matrix entries. A novel empirical condition number is used to show when perturbations are so large that the eigenvalue response is not linear. Some interesting examples are examined in detail.
TypeArticle
URIhttps://hdl.handle.net/1822/17063
DOI10.1007/s00211-012-0470-z
ISSN0029-599X
Peer-Reviewedyes
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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